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Finding the Fourth Proportional to 277.40, 416.08 and 82.40

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Solution

The fourth proportional to 277.40, 416.08 and 82.40 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 416.08 = 82.40 : x
  2. Step 2: Convert to fraction form
    277.40/416.08 = 82.40/x
  3. Step 3: Cross multiply
    277.40x = 416.08 × 82.40
  4. Step 4: Simplify right side
    277.40x = 34,284.99
  5. Step 5: Solve for x
    x = 34,284.99/277.40
  6. Step 6: Final answer
    x = 123.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.